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Proof step 13 from proof at-pcache-overwrite-other (previous step)

files[ino] = mkfile(m, md, m0, content), n ∈ content ⊕ mkcontent(ino, pcache[key0, pe]), n ∈ content ⊕ mkcontent(ino, pcache) ⊦ ino = key0.ino, n ∈ content ⊕ mkcontent(ino, pcache) ∧ (content ⊕ mkcontent(ino, pcache[key0, pe]))[n] = (content ⊕ mkcontent(ino, pcache))[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
files[ino] = mkfile(m, md, m0, content), n ∈ content ⊕ mkcontent(ino, pcache), n ∈ content ⊕ mkcontent(ino, pcache[key0, pe]) ⊦ (content ⊕ mkcontent(ino, pcache[key0, pe]))[n] = (content ⊕ mkcontent(ino, pcache))[n], ino = key0.ino

Proof step 13 from proof at-pcache-overwrite-other (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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